The final cut of the 9th episode of the Tesla Motors Club Podcast, featuring Chad Schwitters, the former president of Plug In America, is now available. You can watch it now on YouTube or listen to it on all major podcast networks.
I am not sure what the finish is. Probably some sort of acrylic. You might try some of the plexiglass polishes and see if that helps. Otherwise a good car cleaner wax has a bit of polishing compound in it too. But both of these will probably remove the "wet look" you have. Sort of the price you pay if you are going to try to polish them.
The other alternative is to try something like Pledge which will just temporarily mask the scratches and you will probably have to apply a coating monthly. Same with swirl mark removers. They are basically just silicones and/or oils.
Give your Service Center a call and ask what they use. When I took delivery there was a few minor scratches on the center console. While we were filling out the paperwork a tech came out with a tube of some kind of polishing compound an rubbed them out in a matter of seconds. Unfortunately I didn't think to ask what they were using.